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Finding the Fourth Proportional to 7,642.81, 11,454.63 and 4,132.68

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Solution

The fourth proportional to 7,642.81, 11,454.63 and 4,132.68 is: 6,193.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.81 : 11,454.63 = 4,132.68 : x
  2. Step 2: Convert to fraction form
    7,642.81/11,454.63 = 4,132.68/x
  3. Step 3: Cross multiply
    7,642.81x = 11,454.63 × 4,132.68
  4. Step 4: Simplify right side
    7,642.81x = 47,338,320.31
  5. Step 5: Solve for x
    x = 47,338,320.31/7,642.81
  6. Step 6: Final answer
    x = 6,193.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.